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46920384 = 26357431
BaseRepresentation
bin1011001011111…
…1001011000000
310021021210200000
42302333023000
544002423014
64353400000
71106550060
oct262771300
9107253600
1046920384
1124537a85
1213869000
13994a754
1463353a0
1541bc509
hex2cbf2c0

46920384 has 168 divisors, whose sum is σ = 159763968. Its totient is φ = 13374720.

The previous prime is 46920383. The next prime is 46920397. The reversal of 46920384 is 48302964.

It is a happy number.

46920384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46920383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108649 + ... + 109079.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 246920384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

46920384 is an abundant number, since it is smaller than the sum of its proper divisors (112843584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46920384 is an equidigital number, since it uses as much as digits as its factorization.

46920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 46920384 is about 6849.8455457039. The cubic root of 46920384 is about 360.6787195840.

The spelling of 46920384 in words is "forty-six million, nine hundred twenty thousand, three hundred eighty-four".